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Finding the Fourth Proportional to 291,654.49, 402,524.90 and 164,341.93

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Solution

The fourth proportional to 291,654.49, 402,524.90 and 164,341.93 is: 226,815.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,654.49 : 402,524.90 = 164,341.93 : x
  2. Step 2: Convert to fraction form
    291,654.49/402,524.90 = 164,341.93/x
  3. Step 3: Cross multiply
    291,654.49x = 402,524.90 × 164,341.93
  4. Step 4: Simplify right side
    291,654.49x = 66,151,718,939.06
  5. Step 5: Solve for x
    x = 66,151,718,939.06/291,654.49
  6. Step 6: Final answer
    x = 226,815.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.